Geometry and Topology in Electronic Structure Theory  2013-2014

Background Material

         Lecture Notes

          SISSA Lecture Notes (Obsolete and incomplete, 1996)

       A Primer on Polarization Theory (by N. Spaldin, 2012)

      A (very) different course with the same title (J.E. Moore, Berkeley, 2009)

         Notes on density matrices

       Lecture1: Introduction

      Lecture2: IQHE

      Lecture3: Berry-phase

       Lecture4: Aharonov-Bohm

       Lecture5: Modern electronic structure

        Lecture6: Piezoelectricity

        Lecture7: Advanced lattice dynamics

        Lecture8: Polarization th. I
       Lecture8bis: Transport and polarization
        Lecture9: Polarization th. II
        Lecture10: Th. of the insulating state

       Lecture11: Chern invariant
        Lecture12: Orbital magnetization